What is the Least Common Multiple of 74800 and 74805?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 74800 and 74805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74800 and 74805, than apply into the LCM equation.

GCF(74800,74805) = 5
LCM(74800,74805) = ( 74800 × 74805) / 5
LCM(74800,74805) = 5595414000 / 5
LCM(74800,74805) = 1119082800

Least Common Multiple (LCM) of 74800 and 74805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74800 and 74805. First we will calculate the prime factors of 74800 and 74805.

Prime Factorization of 74800

Prime Factorization of 74805

Now multiplying the highest exponent prime factors to calculate the LCM of 74800 and 74805.

LCM(74800,74805) = 2⁴ × 5² × 11¹ × 17¹ × 3¹ × 4987¹
LCM(74800,74805) = 1119082800